Pith Number

pith:AOO2RGA7

pith:2012:AOO2RGA7YHLLWDVTV6ZXRDAWC7

not attested not anchored not stored refs pending

Stable optimizationless recovery from phaseless linear measurements

Laurent Demanet, Paul Hand

arxiv:1208.1803 v4 · 2012-08-09 · math.NA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AOO2RGA7YHLLWDVTV6ZXRDAWC7}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T03:11:22.081167Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

039da8981fc1d6bb0eb3afb3788c1617c35c961aa7767b3b5dae9e5853227529

Aliases

arxiv: 1208.1803 · arxiv_version: 1208.1803v4 · doi: 10.48550/arxiv.1208.1803 · pith_short_12: AOO2RGA7YHLL · pith_short_16: AOO2RGA7YHLLWDVT · pith_short_8: AOO2RGA7

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/AOO2RGA7YHLLWDVTV6ZXRDAWC7 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 039da8981fc1d6bb0eb3afb3788c1617c35c961aa7767b3b5dae9e5853227529

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e81c90382a0fbf786fb37aaadc5a6098fe814689d1f3043394974255e9945ecc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2012-08-09T02:12:17Z",
    "title_canon_sha256": "d8715970d72446728fcb3e26db47ea984f967c3297908574acd5b0b9d190ee6f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.1803",
    "kind": "arxiv",
    "version": 4
  }
}